Least Common Multiple of 5306 and 5311
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5306 and 5311 the smallest integer that is 28180166 that is divisible by both numbers.
Least Common Multiple (LCM) of 5306 and 5311 is 28180166.
LCM(5306,5311) = 28180166
LCM of 5306 and 5311
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5306 and 5311 by Prime method
- Least Common Multiple of 5306 and 5311 with GCF Formula
LCM of 5306 and 5311 is 28180166
Least common multiple can be found by multiplying the highest exponent prime factors of 5306 and 5311. First we will calculate the prime factors of 5306 and 5311.
Prime Factorization of 5306
| 2 | 5306 |
| 7 | 2653 |
| 379 | 379 |
| 1 |
Prime factors of 5306 are 2, 7,379. Prime factorization of 5306 in exponential form is:
5306 = 21×71×3791
Prime Factorization of 5311
| 47 | 5311 |
| 113 | 113 |
| 1 |
Prime factors of 5311 are 47,113. Prime factorization of 5311 in exponential form is:
5311 = 471×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 5306 and 5311.
LCM(5306,5311) = 21×71×471×1131×3791
LCM(5306,5311) = 28180166
Factors of 5306
List of positive integer factors of 5306 that divides 5306 without a remainder.
1, 2, 7, 14, 379, 758, 2653, 5306
Factors of 5311
List of positive integer factors of 5311 that divides 5311 without a remainder.
1, 47, 113, 5311
Least Common Multiple of 5306 and 5311 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5306 and 5311, than apply into the LCM equation.
GCF(5306,5311) = 1
LCM(5306,5311) = ( 5306 × 5311) / 1
LCM(5306,5311) = 28180166 / 1
LCM(5306,5311) = 28180166
Properties of LCM 5306 and 5311
(i) The LCM of 5311 and 5306 is associative
LCM of 5306 and 5311 = LCM of 5311 and 5306
Related Least Common Multiples of 5306
Related Least Common Multiples of 5311
Frequently Asked Questions on LCM of 5306 and 5311
1. What is the LCM of 5306 and 5311?
Answer: LCM of 5306 and 5311 is 28180166.
2. What are the Factors of 5306?
Answer: Factors of 5306 are 1, 2, 7, 14, 379, 758, 2653, 5306. There are 8 integers that are factors of 5306. The greatest factor of 5306 is 5306.
3. What are the Factors of 5311?
Answer: Factors of 5311 are 1, 47, 113, 5311. There are 4 integers that are factors of 5311. The greatest factor of 5311 is 5311.
4. How to Find the LCM of 5306 and 5311?
Answer:
Least Common Multiple of 5306 and 5311 = 28180166
Step 1: Find the prime factorization of 5306
5306 = 2 x 7 x 379
Step 2: Find the prime factorization of 5311
5311 = 47 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28180166 = 2 x 7 x 47 x 113 x 379
Step 4: Therefore, the least common multiple of 5306 and 5311 is 28180166.